Re: Was solving the Poincare's conjecture a big deal?

On Wed, 2006-09-06 at 08:47 +1200, Gib Bogle wrote:
Brablo wrote:

From what I understand, the conjecture states that it's possible to
convert a donut into a sphere. duh?!


Original donuts _were_ topologically spherical. I guess the shift to a
toroidal shape was to increase volume while maintaining a high surface
to volume ratio.

Some doughnuts are still spherical (but not topological spherical):-
e.g. Jam doughnuts consist of a blob of jam enclosed inside a
superficially spherical ball of doughnut material.

Some varieties (sometimes sold as "American" doughnuts) are toroidal and
very plain, apart from lots of sugar.

--
Jeremy Boden


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